The Development of DYNA3D Material Model 67 - Hyperelastic Elastomeric Foam With Viscoelasticity
A strain energy potential is developed to represent isotropic, medium-density, elastomeric foams under predominately compressive volumetric states. The potential is proven to be polyconvex and coercive, and is thus stable for all admissible loadings. The potential includes terms that capture the increase in hydrostatic and deviatoric stiffnesses as the relative volume decreases to and slightly beyond full consolidation, i.e., the phenomenon commonly called “lock-up”. The model is shown to accurately replicate the axial compressive stress and secant shear modulus from combined uni-axial stress/torsion experiments. An appropriate viscoelastic formulation for the potential is summarized. The potential and viscoelastic option are implemented in the explicit finite element code DYNA3D (Zywicz and Lin, 2014) as material model 67.